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Finding the Fourth Proportional to 29,531.40, 40,753.38 and 16,102.92

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Solution

The fourth proportional to 29,531.40, 40,753.38 and 16,102.92 is: 22,222.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,531.40 : 40,753.38 = 16,102.92 : x
  2. Step 2: Convert to fraction form
    29,531.40/40,753.38 = 16,102.92/x
  3. Step 3: Cross multiply
    29,531.40x = 40,753.38 × 16,102.92
  4. Step 4: Simplify right side
    29,531.40x = 656,248,417.87
  5. Step 5: Solve for x
    x = 656,248,417.87/29,531.40
  6. Step 6: Final answer
    x = 22,222.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.